16828010496 has 624 divisors, whose sum is σ = 57960826560. Its totient is φ = 4830658560.

The previous prime is 16828010411. The next prime is 16828010509. The reversal of 16828010496 is 69401082861.

16828010496 is a `hidden beast` number, since 1 + 6 + 82 + 80 + 1 + 0 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317509606 + ... + 317509658.

It is an arithmetic number, because the mean of its divisors is an integer number (92885940).

Almost surely, 2^16828010496 is an apocalyptic number.

16828010496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16828010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28980413280).

16828010496 is an abundant number, since it is smaller than the sum of its proper divisors (41132816064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16828010496 is an equidigital number, since it uses as much as digits as its factorization.

16828010496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16828010496 in words is "sixteen billion, eight hundred twenty-eight million, ten thousand, four hundred ninety-six".